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Multivariate time series forecasting with hierarchical structure is pervasive in real-world applications, demanding not only predicting each level of the hierarchy, but also reconciling all forecasts to ensure coherency, i.e., the forecasts…

Machine Learning · Computer Science 2025-03-04 Shiyu Wang , Fan Zhou , Yinbo Sun , Lintao Ma , James Zhang , Yangfei Zheng

We introduce the Graded Transformer framework, a new class of sequence models that embeds algebraic inductive biases through grading transformations on vector spaces. Extending Graded Neural Networks (GNNs), we propose two architectures:…

Machine Learning · Computer Science 2025-09-03 Tony Shaska

Time series forecasting presents significant challenges due to the complex temporal dependencies at multiple time scales. This paper introduces ScatterFusion, a novel framework that synergistically integrates scattering transforms with…

Machine Learning · Computer Science 2026-01-29 Wei Li

Graph neural networks (GNNs) have been demonstrated to be powerful in modeling graph-structured data. However, training GNNs usually requires abundant task-specific labeled data, which is often arduously expensive to obtain. One effective…

Machine Learning · Computer Science 2020-06-30 Ziniu Hu , Yuxiao Dong , Kuansan Wang , Kai-Wei Chang , Yizhou Sun

Graph transformers have gained popularity in various graph-based tasks by addressing challenges faced by traditional Graph Neural Networks. However, the quadratic complexity of self-attention operations and the extensive layering in graph…

Machine Learning · Computer Science 2023-09-20 Reza Shirkavand , Heng Huang

Transformer-based models have emerged as promising tools for time series forecasting. However, these model cannot make accurate prediction for long input time series. On the one hand, they failed to capture global dependencies within time…

Machine Learning · Computer Science 2023-08-16 YanJun Zhao , Ziqing Ma , Tian Zhou , Liang Sun , Mengni Ye , Yi Qian

Developments in Deep Learning have significantly improved time series forecasting by enabling more accurate modeling of complex temporal dependencies inherent in sequential data. The effectiveness of such models is often demonstrated on…

Machine Learning · Computer Science 2025-11-19 Victoria Hankemeier , Malte Schilling

Time series prediction is crucial for understanding and forecasting complex dynamics in various domains, ranging from finance and economics to climate and healthcare. Based on Transformer architecture, one approach involves encoding…

Machine Learning · Computer Science 2024-05-24 Xin Cheng , Xiuying Chen , Shuqi Li , Di Luo , Xun Wang , Dongyan Zhao , Rui Yan

To quantify uncertainty, conformal prediction methods are gaining continuously more interest and have already been successfully applied to various domains. However, they are difficult to apply to time series as the autocorrelative structure…

Machine Learning · Computer Science 2023-11-03 Andreas Auer , Martin Gauch , Daniel Klotz , Sepp Hochreiter

Deep learning models have grown increasingly popular in time series applications. However, the large quantity of newly proposed architectures, together with often contradictory empirical results, makes it difficult to assess which…

Machine Learning · Computer Science 2025-12-30 Valentina Moretti , Andrea Cini , Ivan Marisca , Cesare Alippi

This paper introduces TRACE-GPT, which stands for Time-seRies Anomaly-detection with Convolutional Embedding and Generative Pre-trained Transformers. TRACE-GPT is designed to pre-train univariate time-series sensor data and detect faults on…

Machine Learning · Computer Science 2024-03-28 Sewoong Lee , JinKyou Choi , Min Su Kim

Many security and network applications require having large datasets to train the machine learning models. Limited data access is a well-known problem in the security domain. Recent studies have shown the potential of Transformer models to…

Machine Learning · Computer Science 2025-06-10 Yusuf Elnady

Recent developments related to the energy transition pose particular challenges for distribution grids. Hence, precise load forecasts become more and more important for effective grid management. Novel modeling approaches such as the…

Machine Learning · Computer Science 2023-05-19 Elena Giacomazzi , Felix Haag , Konstantin Hopf

The long horizon forecasting (LHF) problem has come up in the time series literature for over the last 35 years or so. This review covers aspects of LHF in this period and how deep learning has incorporated variants of trend, seasonality,…

Machine Learning · Computer Science 2025-06-17 Hans Krupakar , Kandappan V A

Large language models like GPT-4 exhibit emergent capabilities across general-purpose tasks, such as basic arithmetic, when trained on extensive text data, even though these tasks are not explicitly encoded by the unsupervised, next-token…

Machine Learning · Computer Science 2023-07-10 Nayoung Lee , Kartik Sreenivasan , Jason D. Lee , Kangwook Lee , Dimitris Papailiopoulos

Exogenous variables offer valuable supplementary information for predicting future endogenous variables. Forecasting with exogenous variables needs to consider both past-to-future dependencies (i.e., temporal correlations) and the influence…

Machine Learning · Computer Science 2026-05-04 Zhengyu Li , Xiangfei Qiu , Yuhan Zhu , Xingjian Wu , Jilin Hu , Chenjuan Guo , Bin Yang

State-of-the-art systems neuroscience experiments yield large-scale multimodal data, and these data sets require new tools for analysis. Inspired by the success of large pretrained models in vision and language domains, we reframe the…

Neurons and Cognition · Quantitative Biology 2024-03-19 Antonis Antoniades , Yiyi Yu , Joseph Canzano , William Wang , Spencer LaVere Smith

In many systems, the true data-generating process is unknown, requiring forecasters to rely on observed time series. This study proposes a pre-modeling diagnostic framework for horizon-specific forecastability assessment that evaluates…

Applications · Statistics 2026-03-26 Peter Maurice Catt

This paper presents an investigation of the capabilities of Generative Pre-trained Transformers (GPTs) to auto-generate graphical process models from multi-modal (i.e., text- and image-based) inputs. More precisely, we first introduce a…

Software Engineering · Computer Science 2024-06-10 Marvin Voelter , Raheleh Hadian , Timotheus Kampik , Marius Breitmayer , Manfred Reichert

Reliable uncertainty quantification is critical in multivariate time series forecasting problems arising in domains such as energy systems and transportation networks, among many others. Although Transformer-based architectures have…

Machine Learning · Computer Science 2026-03-13 Rajdeep Pathak , Rahul Goswami , Madhurima Panja , Palash Ghosh , Tanujit Chakraborty
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